10 research outputs found

    Witt kernels of bilinear forms for algebraic extensions in characteristic two

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    Abstract. Let F be a field of characteristic 2 and let K/F be a purely inseparable extension of exponent 1. We determine the kernel W(K/F) of the natural restriction map WF → WK between the Witt rings of bilinear forms of F and K, respectively. This complements a result by Laghribi who computed the kernel for the Witt groups of quadratic forms for such an extension K/F. Based on this result, we will determine W(K/F) for a wide class of finite extensions which are not necessarily purely inseparable. 1

    Global Education for All Students: Innovation & Integration in Expanding Learning Abroad A Teagle Foundation White Paper Mount Holyoke College McCulloch Center for Global Initiatives

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    Acknowledgements It takes a college to make it happen. The student, staff, faculty, and alumnae participants in the Mount Holyoke College working group 'Expanding Learning Opportunities Abroad for all Students' generously shared their time and creative and critical thinking on the key issues analyzed in this White Paper. The good will, the energy, and the cooperation of many offices at the college made the implementation of ensuing policies possible. We would especially like to acknowledge Darby Dyar for her leadership and tireless efforts in the development of the universal application form for summer opportunities and the summer activities data base, Mike Robinson for the in-depth statistical analysis of all the surveys and data sets we use in this paper, Alison Donta for her unfailing enthusiasm and skill in mounting yet another survey, Tara Fitzpatrick for her writing support at key stages in the process, and Jennifer Medina for invaluable assistance during the course of the whole project. To the Teagle Foundation, under the visionary leadership of Robert Connor and Donna Heiland, we express our deep gratitude for their support

    The Committee for the Relief of Distress in Germany. A Case Study of Cooperation and Solidarity between British Evangelicals and German Pietists during the Napoleonic Era

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    Pseudorapidity densities of charged particles with transverse momentum thresholds in pp collisions at √ s = 5.02 and 13 TeV

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    The pseudorapidity density of charged particles with minimum transverse momentum (pT) thresholds of 0.15, 0.5, 1, and 2 GeV/c is measured in pp collisions at the center of mass energies of √s=5.02 and 13 TeV with the ALICE detector. The study is carried out for inelastic collisions with at least one primary charged particle having a pseudorapidity (η) within 0.8pT larger than the corresponding threshold. In addition, measurements without pT-thresholds are performed for inelastic and nonsingle-diffractive events as well as for inelastic events with at least one charged particle having |η|2GeV/c), highlighting the importance of such measurements for tuning event generators. The new measurements agree within uncertainties with results from the ATLAS and CMS experiments obtained at √s=13TeV.
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